Quote Originally Posted by ThirdChild_ZKI View Post
No. . . not it doesn't.
Logically, it has to go both ways - there's no way around that.

Premise one: Both teams are made of players from the queue.
Premise two: Players from the queue may end up on either team.
Premise three: Every player from the queue has a skill level.

From 3 and 1 follows that both teams are made of players with a skill level. Because of 2, the players and thus their skill levels may end up on either team. What that skill level actually is doesn't matter - both teams may end up with it. Provided, of course, the premises are true.

I could go on further, because the formal proof is not yet finished - It still needs conclusions on the likelihood of a given skill level on either team and the bias that's created from that fact that your own skill level is a known variable. But honestly? That's cumbersome to formalize and easy to understand intuitively. Have a meme instead: http://knowyourmeme.com/memes/elo-hell